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Finding the Fourth Proportional to 563.60, 844.92 and 409.04

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Solution

The fourth proportional to 563.60, 844.92 and 409.04 is: 613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 844.92 = 409.04 : x
  2. Step 2: Convert to fraction form
    563.60/844.92 = 409.04/x
  3. Step 3: Cross multiply
    563.60x = 844.92 × 409.04
  4. Step 4: Simplify right side
    563.60x = 345,606.08
  5. Step 5: Solve for x
    x = 345,606.08/563.60
  6. Step 6: Final answer
    x = 613.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.